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264808801 is a prime number
BaseRepresentation
bin11111100100010…
…10100101100001
3200110021200101101
433302022211201
51020242340201
642135434401
76363560215
oct1762124541
9613250341
10264808801
11126528854
1274825a01
1342b28cca
1427252945
15183abd01
hexfc8a961

264808801 has 2 divisors, whose sum is σ = 264808802. Its totient is φ = 264808800.

The previous prime is 264808793. The next prime is 264808823. The reversal of 264808801 is 108808462.

264808801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264387600 + 421201 = 16260^2 + 649^2 .

It is a cyclic number.

It is not a de Polignac number, because 264808801 - 23 = 264808793 is a prime.

It is not a weakly prime, because it can be changed into another prime (264808861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132404400 + 132404401.

It is an arithmetic number, because the mean of its divisors is an integer number (132404401).

Almost surely, 2264808801 is an apocalyptic number.

It is an amenable number.

264808801 is a deficient number, since it is larger than the sum of its proper divisors (1).

264808801 is an equidigital number, since it uses as much as digits as its factorization.

264808801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 264808801 is about 16272.9469058312. The cubic root of 264808801 is about 642.1613135203.

The spelling of 264808801 in words is "two hundred sixty-four million, eight hundred eight thousand, eight hundred one".